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riadik2000 [5.3K]
3 years ago
7

ABCD is a rectangle. What is the value of x?

Mathematics
2 answers:
kvv77 [185]3 years ago
6 0
The answer is 33 meters
use the Pythagorean theorem 
56^2+x^2=65^2
3136+x^2=4225
x^2=1089
x=33
oksano4ka [1.4K]3 years ago
5 0

Answer:

33m

Step-by-step explanation:

In A rectangle with a diagonal, the diagonal line divides the rectangle into two right angled triangle.

The diagonal serves as the hypotenuse and the other two sides serves as the opposite and adjacent.

According to Pythagoras theorem;

Hypotenuse ² = Adjacent ²+opposite ²

If diagonal = 65m = hypotenuse

Let Length = opposite = 56m and;

width = adjacent = x

Substituting this values in the formula we have;

65² = x²+56²

x² = 65²-56²

x² = 1089

x = √1089

x = 33m

Therefore the width of the rectangle is 33m

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gtnhenbr [62]

Answer : B

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Second year : 20600 x 80% = 16480
Third year : 16480 x 80% = 13184
Fourth year : 13184 x 80% = 10547.2
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Which expression is equivalent to 12 to the 10 over 12?
jonny [76]
<h3>Answer:  Choice C</h3>

Work Shown:

\frac{12^{10}}{12}\\\\\\\frac{12^{10}}{12^1}\\\\\\12^{10-1}\\\\\\12^{9}\\\\\\\frac{1}{12^{-9}}\\\\\\\left(\frac{1}{12}\right)^{-9}\\\\\\

In the third step, I used the rule that \frac{a^b}{a^c} = a^{b-c}. You subtract the exponents when dividing exponents of the same base.

After that, I used the rule a^{-b} = \frac{1}{a^b} which is the same as saying a^{b} = \frac{1}{a^{-b}} to end up with choice C as the answer.

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A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of 1/3 unit. How many 1/3 unit cubes d
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Step-by-step explanation:

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4 years ago
The standard form of a quadratic equation is given as y=ax^2+bx+c and vertex form is given as y=a(x−h)^2+k. Write a formula that
Tju [1.3M]

Answers:

h = -\frac{b}{2a}\\\\k = \frac{-b^2+4ac}{4a}\\\\

where 'a' cannot be zero.

=========================================================

Explanation:

The vertex is (h,k)

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x = -\frac{b}{2a}

For example, if we had the quadratic y = 3x^2-6x+5, then we'll plug in a = 3 and b = -6 to get: h = -\frac{b}{2a} = -\frac{-6}{2*3} = 1

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To find the value of k, we plug that h value into the original standard form of the quadratic and simplify.

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It's interesting how we end up with the numerator of -b^2+4ac which is similar to b^2-4ac found under the square root in the quadratic formula. There are other ways to express that formula above. We need a \ne 0 to avoid dividing by zero. The values of b and c are allowed to be zero.

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5 0
2 years ago
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